https://neckpinch.com/authors/yong-luo/New arXiv papers by Yong Luo, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2412.15880/arxiv:2412.15880Fri, 20 Dec 2024 00:00:00 GMTXiang Li, Yong Luo, Jun Sun — In this paper, we will prove some rigidity theorems for blow up limits to Type II singularities of Lagrangian mean curvature flow with zero Maslov class or almost calibrated Lagrangian mean curvature flows, especially for Lagrangian translating solitons in any dimension. These theorems generalized previous corresponding results from two dimensional case to arbitrarily dimensional case.Mean curvature flowLagrangian mean curvature flowSelf-shrinkers & translatorsSingularitiesSurfacesStability & uniqueness https://neckpinch.com/papers/2311.03759/arxiv:2311.03759Tue, 07 Nov 2023 00:00:00 GMTYong Luo — In this paper we consider L^p Liouville type theorems for harmonic functions on gradient Ricci solitons. In particular, assume that (M,g) is a gradient shrinking or steady Kähler-Ricci soliton, then we prove that any pluriharmonic function u on M with ∇u∈ L^p(M) for some 1<p≤ 2 is a constant function.Ricci solitonsKähler–Ricci solitonsKähler geometry